More on axial anomalies of Lifshitz fermions

Abstract

We show that the gauge and metric field contribution to the axial anomaly of a four-dimensional massless Lifshitz fermion theory with anisotropy scaling exponent z is identical to the relativistic case, hereby extending the results found in arXiv:1103.5693 to arbitrary values of z. This is in accordance with the fact that the axial anomaly is an infra-red phenomenon in disguise. We also provide some new models that realize baryon and lepton number violation in non-relativistic theories of gravity. In all cases, the volume of space exhibits a lower bound that is fixed by the gravitational coupling parameters.